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OpenStudy (anonymous):
Use law of cosines to solve for m
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OpenStudy (anonymous):
Here is the equation
c^(2)=33^(2)+21^(2)-2(33)(21)cos(36)
OpenStudy (ajprincess):
Well in the question they r asking u to find the value of m<C. but in the equation u have given the value of it is given.
OpenStudy (anonymous):
What do you mean? I solved the equation and got c=20.2
OpenStudy (ajprincess):
i guess the question is to find c and nt m<C
OpenStudy (anonymous):
No. Because here are the answer options
82.3 degrees
79.8 degrees
81.3 degrees
80.3 degrees
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OpenStudy (ajprincess):
hmm. is there a diagram for this ques?
OpenStudy (anonymous):
Yes. Let me find it
OpenStudy (anonymous):
|dw:1368886585589:dw|
OpenStudy (ajprincess):
\[c^2=a^2+b^2-2ab\cos C\]
\[\cos C=\frac{a^2+b^2-c^2}{2ab}\]
\[cosC=\frac{(21)^2+(33)^2-(36)^2}{2*21*33}\]
OpenStudy (anonymous):
ok, then what.
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OpenStudy (ajprincess):
have u found cosC?
OpenStudy (anonymous):
0.17?
OpenStudy (ajprincess):
yup. nw find \(cos^{-1}0.17\)
OpenStudy (anonymous):
79.9?
OpenStudy (anonymous):
well its and i have to round to the nearest tenth so 80.3
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OpenStudy (ajprincess):
Actually \(cos^{-1}(0.17)\ne79.9\) but is = 80.21=80.3
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